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Chapter 2: Q25. (page 61)

Graph each relation or equation and find the domain and range.

Then determine whether the relation or equation is a function.

-2,5,3,7,-2,8

Short Answer

Expert verified

The graph of the given relation is:

The domain of the given relation is -2,3 and the range is 5,7,8. The relation is not a function.

Step by step solution

01

– Definition of function, domain and range.

  • A relation is a function if each element of the domain is paired with exactly one element of the range and a relation is not a function if there exist an element in the domain paired with more than one element of the range.
  • The set of input values is known as domain.
  • The set of output values is known as Range.
02

– Draw the graph of the given relation.

The given relation is -2,5,3,7,-2,8.

Plot the ordered pairs -2,5,3,7,-2,8 on a coordinate plane as shown below:

03

– Domain and range of the given relation.

Input values of the relation are -2,3 and the output values are 5,7,8.

Domain =-2,3

Range =5,7,8

04

– Check whether the relation is a function.

This relation is not a function because -2 in the domain is paired with both 5 and 8 in the range.

Thus, the domain of the given relation is -2,3 and the range is 5,7,8. The relation is not a function.

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